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Finding the Fourth Proportional to 1,764.47, 2,645.01 and 668.58

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Solution

The fourth proportional to 1,764.47, 2,645.01 and 668.58 is: 1,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.47 : 2,645.01 = 668.58 : x
  2. Step 2: Convert to fraction form
    1,764.47/2,645.01 = 668.58/x
  3. Step 3: Cross multiply
    1,764.47x = 2,645.01 × 668.58
  4. Step 4: Simplify right side
    1,764.47x = 1,768,400.79
  5. Step 5: Solve for x
    x = 1,768,400.79/1,764.47
  6. Step 6: Final answer
    x = 1,002.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.